Introduction to Counting & Probability Online Math Course

Introduction to Counting & Probability

Fundamentals of counting and probability, including casework, multiplication, permutations, combinations, Pascal's triangle, probability, combinatorial identities, and the Binomial Theorem.

12 weeks

Diagnostics

ARE YOU READY? DO YOU NEED THIS?

Documents

SYLLABUS
12 weeks ARE YOU READY? DO YOU NEED THIS? SYLLABUS  

Schedule

Tuesday
Jan 5 - Mar 23
7:30 - 9:00
PM ET
Jan 5 - Mar 23
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$355
$400 w/books
$355
With Books $400
CLOSED
Friday
Jan 15 - Apr 2
7:30 - 9:00
PM ET
Jan 15 - Apr 2
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$355
$400 w/books
$355
With Books $400
WAITLIST
Sunday
Jan 31 - Apr 18
7:30 - 9:00
PM ET
Jan 31 - Apr 18
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$355
$400 w/books
$355
With Books $400
ENROLL
Monday
Feb 8 - Apr 26
7:30 - 9:00
PM ET
Feb 8 - Apr 26
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$355
$400 w/books
$355
With Books $400
ENROLL
Thursday
Feb 11 - Apr 29
7:30 - 9:00
PM ET
Feb 11 - Apr 29
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$355
$400 w/books
$355
With Books $400
ENROLL
Friday
Mar 5 - May 21
7:30 - 9:00
PM ET
Mar 5 - May 21
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$355
$400 w/books
$355
With Books $400
ENROLL
Wednesday
Mar 17 - Jun 2
7:30 - 9:00
PM ET
Mar 17 - Jun 2
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$355
$400 w/books
$355
With Books $400
ENROLL
Sunday
Mar 21 - Jun 13
7:30 - 9:00
PM ET
Mar 21 - Jun 13
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$355
$400 w/books
$355
With Books $400
ENROLL
Monday
Apr 19 - Jul 19
7:30 - 9:00
PM ET
Apr 19 - Jul 19
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$355
$400 w/books
$355
With Books $400
ENROLL
Friday
Apr 30 - Jul 16
7:30 - 9:00
PM ET
Apr 30 - Jul 16
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$355
$400 w/books
$355
With Books $400
ENROLL
Summer 2021This course will be offered in Summer 2021. Click here to join our mailing list to be notified when the course schedule is available.

AoPS Holidays

There are no classes May 29–31, July 3–5, and September 4–6.

Who Should Take?

This course is appropriate for students in grades 6-9 who have mastered basic algebra up through solving linear equations and manipulating multi-variable expressions. Students who have completed our Introduction to Algebra A course should have sufficient background. This course is roughly the same difficulty as our Introduction to Number Theory class. For those preparing for contests, this course should help with MATHCOUNTS and the AMC 8/10/12 tests.

Lessons

Lesson 1 Lists, Venn Diagrams, Addition, Multiplication
Lesson 2 Casework, Constructions, and Restriction
Lesson 3 Overcounting and Combinations
Lesson 4 Combinations and Distinguishability
Lesson 5 Challenging Problems Day
Lesson 6 Introduction to Probability
Lesson 7 Probability and Arithmetic
Lesson 8 Geometric Probability, Think About It!, and Expected Value
Lesson 9 Pascal's Triangle and Identities
Lesson 10 The Hockey Stick Identity
Lesson 11 The Binomial Theorem
Lesson 12 Challenging Problems Day 2

Required Textbook

Introduction to Counting & Probability
By David Patrick
A thorough introduction for students in grades 7-10 to counting and probability topics such as permutations, combinations, Pascal's triangle, geometric probability, basic combinatorial identities, the Binomial Theorem, and more.

I liked this class. The concepts seemed interesting and new and much better than what I would learn in school. I learned a lot about combinations and how they work. I really enjoyed this class.

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